I wrote the above comment off the top of my head. I wish I had time to rewrite and edit it. I would have changed “their goldfish” to “a spider they accidentally stepped on”, and would have added more detail to the story of the sister’s death (e.g. “her Pomeranian yapping” rather than the less descriptive “her dog barking”). Unfortunately, I could not do the thorough writing job required for that comment because someone close to me recently … – The person whose out of office advertised his gig on the weekend, for anyone in travelling to [city] – The people in a certain department who have taken to saying things like “if you really need to contact me, call 000-YYY-XXXX where Y is the square root of [insert numbers] and X is the year plutonium was discovered.” – The ones where people have an auto response saying they only check their emails once a day between 1-2pm – “I’m on research leave and I may be slow to reply.” (Whereby it is guaranteed they will reply immediately, because academics do not *really* take breaks).
Something about it gets my goat up! Like she’s working and emailing me about things she wants me to work on, but her OOO is telling me to buzz off coz she’s too busy to get to my emails. Also she still has it set up and we’ve been in lockdown for over a week. How long does she intend to have her OOO triaging everything and making excuses for delays? We all know there’s a lockdown, that’s why everyone is scrambling for their events to be rescheduled – it just comes across as very self-important at a time where everyone is under stress. No one else in the organisation has this so it seems very bizarre to have an OOO while still working!

Otherwise, a referral to your company’s general contact email or a simple ‘I’ll respond when I get back, stop bugging me’ should do the trick.
Yeah, announcing you were going to delete emails unread and expecting the sender to resend when you return would NEVER fly in my office. I’d get executive complaints about that, especially if it went to a client or outside party – if a client can’t reach you, they will reach out to someone else who may not work at your organization and you lose business. I feel like this delete-it-all philosophy would only work for an entirely internal role where timelines are more relaxed, and even then, I feel it’s a bit unprofessional to foist your own catch-up work onto others, especially if they’ve been backfilling for you while you were OOO.